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A formal moduli space of symplectic connections of Ricci-type on T2n by M. Cahen; S. Gutt; J. Horowitz; J. Rawnsley is a Mathematics article available to read on EtoBox.

What is A formal moduli space of symplectic connections of Ricci-type on T2n about?

We consider analytic curves ∇ t of symplectic connections of Ricci-type on the torus T 2n with ∇ 0 the standard connection. We show, by a recursion argument, that if ∇ t is a formal curve of such connections then there exists a formal curve of symplectomorphisms ψ t such that ψ t • ∇ t is a formal curve of flat T 2n -invariant symplectic connections and so ∇ t is flat for all t. Applying this result to the Taylor series of the analytic curve, it means that analytic curves of symplectic connections of Ricci-type starting at ∇ 0 are also flat. The group G of symplectomorphisms of the torus (T 2n , ω) acts on the space E of symplectic connections which are of Ricci-type. As a preliminary to study the moduli space E/G we study the moduli of formal curves of connections under the action of formal curves of symplectomorphisms.

Who reads A formal moduli space of symplectic connections of Ricci-type on T2n?

Author

M. Cahen; S. Gutt; J. Horowitz; J. Rawnsley

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0393-0440)

Published

2003

Language

EN

Field

Mathematics (Physical Sciences)